What is the Least Common Multiple of 71040 and 71056?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 71040 and 71056 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71040 and 71056, than apply into the LCM equation.

GCF(71040,71056) = 16
LCM(71040,71056) = ( 71040 × 71056) / 16
LCM(71040,71056) = 5047818240 / 16
LCM(71040,71056) = 315488640

Least Common Multiple (LCM) of 71040 and 71056 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71040 and 71056. First we will calculate the prime factors of 71040 and 71056.

Prime Factorization of 71040

Prime Factorization of 71056

Now multiplying the highest exponent prime factors to calculate the LCM of 71040 and 71056.

LCM(71040,71056) = 2⁷ × 3¹ × 5¹ × 37¹ × 4441¹
LCM(71040,71056) = 315488640